The non‐birefringent limit of all linear, skewonless media and its unique light‐cone structure

Favaro, Alberto; Bergamin, L.

doi:10.1002/andp.201000140

Cited by 32 publications

(49 citation statements)

References 37 publications

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“…We constructed the relation (8) in the weak-violation/weak-field approximation of the Einstein Equivalence Principle (EEP) and applied to pulsar observations in 1981 [29][30][31]; Haugan and Kauffmann [32] reconstructed the relation (8) and applied to radio galaxy observations in 1995. After the cornerstone work of Lämmerzahl and Hehl [33], Favaro and Bergamin [34] finally proved the relation (8) without assuming weak-field approximation (see also Dahl [35]). Polarization measurements of electromagnetic waves from pulsars and cosmologically distant astrophysical sources yield stringent constraints agreeing with (8) down to 2 × 10 −32 fractionally (for a review, see [25,26]).…”

Section: Derivation Of Spacetime Structure From Premetric Electrodynamentioning

confidence: 99%

Dilaton field and cosmic wave propagation

2014

Physics Letters A

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We study the electromagnetic wave propagation in the joint dilaton field and axion field. Dilaton field induces amplification/attenuation in the propagation while axion field induces polarization rotation. The amplification/attenuation induced by dilaton is independent of the frequency (energy) and the polarization of electromagnetic waves (photons). From observations, the agreement with and the precise calibration of the cosmic microwave background (CMB) to blackbody radiation constrains the fractional change of dilaton |{\Delta}{\psi}|/{\psi} to less than about 8 x 10^(-4) since the time of the last scattering surface of the CMB.Comment: 16 pages, Physics Letters A in pres

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Section: Derivation Of Spacetime Structure From Premetric Electrodynamentioning

confidence: 99%

Dilaton field and cosmic wave propagation

2014

Physics Letters A

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“…After the cornerstone work of Lämmerzahl and Hehl [59], Favaro and Bergamin [64] finally proved the relation (60) without assuming weak-field approximation (see also Dahl [65]). …”

Section: Nonbirefringence Condition For the Skewonless Casementioning

confidence: 99%

Equivalence principles, spacetime structure and the cosmic connection

Ni¹

2016

Int. J. Mod. Phys. D

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After reviewing the meaning of various equivalence principles and the structure of electrodynamics, we give a fairly detailed account of the construction of the light cone and a core metric from the equivalence principle for the photon (no birefringence, no polarization rotation and no amplification/attenuation in propagation) in the framework of linear electrodynamics using cosmic connections/observations as empirical support. The cosmic nonbirefringent propagation of photons independent of energy and polarization verifies the Galileo Equivalence Principle [Universality of Propagation] for photons/electromagnetic wave packets in spacetime. This nonbirefringence constrains the spacetime constitutive tensor to high precision to a core metric form with an axion degree and a dilaton degree of freedom. Thus comes the metric with axion and dilation. Constraints on axion and dilaton from astrophysical/cosmic propagation are reviewed. Eötvös-type experiments, Hughes-Drever-type experiments, redshift experiments then constrain and tie this core metric to agree with the matter metric, and hence a unique physical metric and universality of metrology. We summarize these experiments and review how the Galileo equivalence principle constrains the Einstein Equivalence Principle (EEP) theoretically. In local physics this physcical metric gives the Lorentz/Poincaré covariance. Understanding that the metric and EEP come from the vacuum as a medium of electrodynamics in the linear regime, efforts to actively look for potential effects beyond this linear scheme are warranted. We emphasize the importance of doing Eötvös-type experiments or other type experiments using polarized bodies/polarized particles. We review the theoretical progress on the issue of gyrogravitational ratio for fundamental particles and update the experimental progress on the measurements of possible long range/intermediate range spin-spin, spin-monopole and spincosmos interactions.

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“…The importance of this result is that in arbitrary coordinates an area metric depends on 21 real numbers, but each normal form depends on at most six real numbers and three signs ±1. This reduction in variables has proven particularly useful when studying properties of the Fresnel equation (or dispersion equation) for a propagating electromagnetic wave [5,8,17]. Namely, without assumptions on either the area metric or the coordinates, the Fresnel equation usually leads to algebraic expressions that are difficult to manipulate, even with computer algebra [4].…”

Section: Introductionmentioning

confidence: 99%

“…Then under suitable conditions, area-metrics are in one-toone correspondence with invertible skewon-free 2 2 -tensors. (See for example [8] or Proposition 4 below. )…”

Section: Introductionmentioning

confidence: 99%

A Restatement of the Algebraic Classification of Area Metrics on 4-Manifolds

Dahl

2012

Int. J. Geom. Methods Mod. Phys.

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An area metric is a`0 4´-tensor with certain symmetries on a 4-manifold that represents a non-dissipative linear electromagnetic medium. A recent result by Schuller, Witte and Wohlfarth gives a pointwise algebraic classification for such area metrics. This result is similar to the Jordan normal form theorem for`1 1´-tensors, and the result shows that pointwise area metrics divide into 23 metaclasses and each metaclass requires two coordinate representations. For the first 7 metaclasses, we show that only one coordinate representation is needed. For the remaining 16 metaclasses we find an additional third coordinate representation.

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The non‐birefringent limit of all linear, skewonless media and its unique light‐cone structure

Cited by 32 publications

References 37 publications

Dilaton field and cosmic wave propagation

Dilaton field and cosmic wave propagation

Equivalence principles, spacetime structure and the cosmic connection

A Restatement of the Algebraic Classification of Area Metrics on 4-Manifolds

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